# Perform the following operations and simplify the results

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1. Simplify the following expression.

2. Simplify the following expression.

3. Perform the operations and simplify.

4. Perform the operations and simplify.

÷

5. Perform the operations and simplify.

6. Perform the operations and simplify.

x2 - 4

x

÷ (x + 2)

7. Perform the operations and simplify.

8. Perform the following operations and simplify the result if possible.

9. Perform the following operations and simplify the result if possible.

10. Perform the following operations and simplify the result if possible.

11. Simplify the following complex fraction.

12. Simplify the complex fraction.

13. Solve the following equation. (If there is no solution, enter NONE in the answer box. If any real number is a solution, enter ANY in the answer box.)

x =

14. Solve the following equation. (If there is no solution, enter NONE in the answer box. If any real number is a solution, enter ANY in the answer box.)

x =

15. Solve the following equation. (If there is no solution, enter NONE in the answer box. If any real number is a solution, enter ANY in the answer box.)

x =

16. Perform the division. Write the answer without using negative exponents.

17. Perform the division. Write the answer without using negative exponents.

18. Perform the division. Write the answer without using negative exponents.

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##### Solution Summary

The expert preforms operations and simplifies the results. The division are preformed.

###### Education

- BSc , Wuhan Univ. China
- MA, Shandong Univ.

###### Recent Feedback

- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
- "excellent work"
- "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
- "Thank you"
- "Thank you very much for your valuable time and assistance!"

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